Abstract
One investigates the probability structure of random sequences of elements of a Hilbert space, considered within the accuracy of an isometry, whose distributions are invariant relative to a finite permutation of the terms.
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Literature cited
M. Loève, Probability Theory II, 4th ed., Springer-Verlag, New York (1978).
M. Loève, Probability Theory, Van Nostrand, Princeton (1955).
V. A. Rokhlin, “On the fundamental concepts of measure theory,” Mat. Sb.,25(67), No. 1, 107–150 (1949).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 119, pp. 77–86, 1982.
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Dovbysh, L.N., Sudakov, V.N. Gram-de finetti matrices. J Math Sci 27, 3047–3054 (1984). https://doi.org/10.1007/BF01843548
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DOI: https://doi.org/10.1007/BF01843548